Nonlinear parabolic problems


International Visitor Program

NONLINEAR PARABOLIC PROBLEMS

HELSINKI 29.8.-18.11.2005


FMSvisitor0506

University of Helsinki

Helsinki University of Technology

The Visitor Program "Nonlinear parabolic problems" consists of visits of foreign mathematicians to Helsinki, Finland, and of seminars, minicourses and the international conference. The activities take place at the Department of Mathematics and Statistics, University of Helsinki, and at the Department of Mathematics, Helsinki University of Technology. The program is a part of the FMS International Visitor Program "Function spaces and differential equations".

Topics

  • maximal regularity
  • fully nonlinear problems with applications to free boundary and geometric problems
  • qualitative theory (including blow-up phenomena and dynamical systems techniques)
  • reaction-diffusion systems
  • Navier-Stokes equations
  • degenerate parabolic problems
PARTICIPANTS

Mathematicians interested in participating in the program are asked to contact one of the organizers (see below).

The following mathematicians have already agreed to participate:

W.Arendt (Ulm), M.Chipot (Zurich), Ph.Clement (Delft), J.Escher (Hannover), E.Feireisl (Prague), M.Fila (Bratislava), P. Guidotti (Irvine), M.Herrero (Madrid), M.Hieber (Darmstadt), G.Karch (Wroclaw), H.Kozono (Sendai), Ph.Laurencot (Toulouse), J.Lopez-Gomez (Madrid), W.-M.Ni (Minnesota), M.Pierre (Rennes), J.Pruess (Halle), P.Quittner (Bratislava), J.Rehberg (Berlin), Y.Shibata (Tokyo), G.Simonett (Nashville), H.Sohr (Paderborn), V.Solonnikov (St. Petersburg), Ph.Souplet (Versailles ), J.L.Vazquez (Madrid), D.Wrzosek (Warszawa), L.Weis (Karlsruhe), E.Yanagida (Sendai), S.Zheng (Shanghai).

PROGRAM

The international conference will take place on 17.--21.10.

Minicourses:

At the University of Helsinki, Exactum Building, auditorium B120:

  • P. Quittner: "Qualitative theory of nonlinear parabolic equations".
    Mon 5.9. 16-18 and Thu 8.9. 16-18.
  • M. Hieber: "Maximal regularity and parabolic equations"
    Mon 26.9. 16-18 and Thu 29.9. 16-18.
  • M. Fila: "Blow up in nonlinear parabolic equations"
    Mon 3.10. 16-18 and Thu 6.10. 16-18.
At the Helsinki University of Technology, Department of Mathematics, auditorium U322:
  • H. Sohr: "Regularity theory for the Navier-Stokes equations"
    Mon 31.10. 16-18 and Thu 3.11. 16-18.
  • H. Kozono: "Recent developements in the theory of Navier-Stokes equations".
    Mon 14.11. 16-18 and Thu 17.11. 16-18.

The research seminar "Nonlinear parabolic problems":

At the University of Helsinki, Exactum Building, auditorium D123:

  • Tue 30.8. at 14.15
    Ph. Souplet, Paris XIII : "Large time behavior of solutions of viscous Hamilton-Jacobi equations in bounded and unbounded domains"
  • Fri 2.9. at 10.15
    P. Polacik, University of Minnesota: "Symmetry properties of positive solutions of parabolic equations "
  • Tue 6.9. at 14.15
    M. Fila, Comenius University, Bratislava: "Diffusion induced stabilization"
  • Fri 9.9. at 10.15
    P. Quittner, Comenius University, Bratislava: "A priori estimates of solutions of superlinear parabolic problems"
  • Tue 13.9. at 14.15
    W. Arendt, University of Ulm: "Maximal regularity for non-autonomous and non-linear problems: a change of paradigm?
  • Fri 16.9. at 10.15
    E. Feireisl, Academy of Sciences, Prague: " On some singular limit problems for the full Navier-Stokes-Fourier system"
  • Tue 20.9. at 14.15
    H. Shibata, Waseda University, Tokyo: "L_p-L_q maximal regularity of Stokes equations with first order boundary conditions"
  • Fri 23.9. at 10.15
    M. Fila, Bratislava: "Boundedness of global solutions of a semilinear parabolic equation"
  • Tue 27.9 at 14.15
    M. Hieber, Darmstadt: "Analysis of the spin-coating process"
  • Fri 30.9. at 10.15
    J.-P. Bartier, Paris: "Between Poincare and logarithmic Sobolev Inequalities: entropy estimates for parabolic equations"
    C. Kneisel, Hannover : "A note on abstract quasilinear parabolic evolution equations"
  • Tue 4.10. at 14.15
    P. Laurençot, Toulouse: "Convergence to self-similarity for one-dimensional convection-diffusion equations"
  • Fri 7.10. at 10.15
    S. Zheng, Shanghai: "Asymptotic behavior of solutions to nonlinear evolution equations"
  • Tue 11.10. at 14.15
    J. Escher, Hannover: "Moving surfaces and nonlinear parabolic evolution equations: A) Curvature driven flows, B) Moving boundary value problems"
  • Fri 14.10. at 10.15
    V. Solonnikov, St. Petersburg: "On the problem of stability of equilibrium figures of rotating viscous incompressible liquid"

At the Helsinki University of Technology, Department of Mathematics, auditorium U322:

  • Tue 25.10. at 14.15
    W.-M. Ni, Minnesota: "Recent progress on an activator-inhibitor system"
  • Fri 28.10. at 10.15
    J.-L. Vazquez, Madrid: "Selfsimilarity and the large time behaviour of nonlinear diffusion equations"
  • Tue 1.11. at 14.15
    J. Rehberg, Berlin: "Analysis of macroscopic and quantum mechanical semiconductor models"
  • Fri 4.11. at 10.15
    M. Pierre, Rennes: "About regularity of optimal shapes"
  • Tue 8.11. at 14.15
    H. Kozono, Sendai: "Global solution to the semilinear Keller-Segel model of parabolic-parabolic type with small data in L^r(R^n)".
  • Fri 11.11. at 10.15
    H. Sohr, Paderborn: "Some recent results on the Navier-Stokes equations".
  • Tue 15.11. at 14.15
    S.-O.Londen, Helsinki: "Some nonlocal parabolic problems"
  • Fri 18.11. at 10.15
    J. Taskinen, Helsinki: "Stability of Cahn-Hilliard fronts"

ORGANIZING COMMITTEE


Last update 2.8.2005 JT